10461 has 8 divisors (see below), whose sum is σ = 15264. Its totient is φ = 6320.

The previous prime is 10459. The next prime is 10463. The reversal of 10461 is 16401.

10461 = T₃₈ + T₃₉ + ... + T₄₈.

It is an interprime number because it is at equal distance from previous prime (10459) and next prime (10463).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10461 - 2¹ = 10459 is a prime.

10461 is a lucky number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126 + ... + 191.

It is an arithmetic number, because the mean of its divisors is an integer number (1908).

2¹⁰⁴⁶¹ is an apocalyptic number.

10461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10461 is a deficient number, since it is larger than the sum of its proper divisors (4803).

10461 is a wasteful number, since it uses less digits than its factorization.

10461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10461 is about 102.2790301088. The cubic root of 10461 is about 21.8704507547.

Adding to 10461 its reverse (16401), we get a palindrome (26862).

The spelling of 10461 in words is "ten thousand, four hundred sixty-one".